dataset_version
timestamp[s] | queId
stringlengths 32
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stringclasses 5
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stringclasses 1
value | problem
stringlengths 6
2.89k
| knowledge_point_routes
sequence |
|---|---|---|---|---|---|
2023-07-07T00:00:00 | cf24e8570c5f445681de61cc8e392341 | 1 | short_answer | A red light flashes four times a minute and a green light flashes six times a minute. If both lights start flashing at the same instant, how many times do they flash at the same instant in one hour including the first and the last time? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Word Problems Involving Factors and Multiples->Factor Word Problems"
] |
2023-07-07T00:00:00 | 7dd4045d492549698d37a5863045d780 | 1 | short_answer | \(312+9=\) \(~\) \(~\) \(~\) \(~\) \(~\) \(~\) | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas"
] |
2023-07-07T00:00:00 | a2b3614814354adfabe59be257d8e75b | 1 | short_answer | $$a$$ and $$b$$ are prime numbers and $$3a+7b=41$$. Work out $$a+b$$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime and Composite Numbers->Determining Prime and Composite Numbers"
] |
2023-07-07T00:00:00 | 4e46f2beb27349e6aa3f6d1b29e68cab | 0 | short_answer | Which number is halfway between $$4.5$$ and $$10.3$$? ~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Four Operations of Decimals"
] |
2023-07-07T00:00:00 | 0ddb927d100f4ec0b3038de3ef7a76be | 2 | short_answer | Jalen bought a sofa from a great sofa sale. He later sold it at ＄$$6500$$ at an exhibition. The profit made is $$30 \%$$. What is the percentage of profit if the profit is ＄$$5000$$? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Basic Profit and Loss Concepts"
] |
2023-07-07T00:00:00 | 2dca95dfad284b9387bbcee7d41b7a7d | 2 | short_answer | \textbf{$$n$$~}is a number where~$\dfrac{32}{n}=\dfrac{n}{2}$. \textbf{$$n=$$}~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Proportional Equations"
] |
2023-07-07T00:00:00 | 1e29620d8c1546499923e5051d3708fa | 1 | short_answer | A bottled drink is made up of $$120\text{ml}$$ of juice and the rest is water.~ Water makes up $\dfrac{3}{5}$~of the drink. How much water would be needed for $$6$$ bottles of drink? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | ea94212bd8754f72b8001d195d361ee0 | 0 | short_answer | \textbf{$$n$$~}is the number of grams in $$8.2$$ $$\text{kg}$$. \textbf{$$n=$$~\uline{~~~~~~~~~~}~} | [
"Overseas Competition->Knowledge Point->Calculation Modules->Unit Conversion->Converting between Units of Weight"
] |
2023-07-07T00:00:00 | 51adf37d19ad431c8fff66b81f840b33 | 1 | short_answer | How many ways can you arrange the letters of the word EARTH? | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | fc9c893a6de2407d928994eaaedf78a9 | 1 | short_answer | Calculate: $$4\times18\times25$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Fast Multiplication and Division of Whole Numbers"
] |
2023-07-07T00:00:00 | f0f847c95e5f466d90b8e462be6ed071 | 1 | short_answer | Simon and his friend walk away from school at the same time in opposite directions. Simon\textquotesingle s speed is $$150$$ feet per minute and his friend\textquotesingle s speed is $$200$$ feet per minute. After walking for $$10$$ minutes, Simon realizes that his book is at school and he runs back to school at twice of his original speed. When he reaches the school, how far is Simon from his friend? | [
"Overseas Competition->Knowledge Point->Distance Word Problems->Distance Word Problems on Straight Road",
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 3bd51f5982c940ddbbde362e9af86b8e | 1 | short_answer | In this calculation~-- each letter represents a different digit. What is the product? | [
"Overseas Competition->Knowledge Point->Combinatorics->Number Puzzles"
] |
2023-07-07T00:00:00 | 32cddd410fc54087979e0acde6f71066 | 2 | short_answer | There are two identical bells, two identical stars, two identical red balls, and a green ball. Tim wants to string them in a line to decorate his wall. How many different ways are there for him to string these decorations? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations"
] |
2023-07-07T00:00:00 | 1664d9ce104d45fd8be662f12fc279a0 | 1 | short_answer | Eddie, Rose, Jack and Mary are being chased by robbers to the riverside at night. They only have one flashlight.~~Along the river, there is a bridge that can only allow $2$ people to crosss at one time. Eddie takes $1$ minutes to cross the bridge, Jack takes $2$ minutes, Rose takes $5$ minutes and Mary takes $10$ minutes. What is the shortest amount of time needed for all $4$ of them to cross the bridge? | [
"Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math->Fun Math Problems->Strategies for Crossing River Problems"
] |
2023-07-07T00:00:00 | 2a228cd17f4e409e9bc77a0ccc4c9809 | 1 | short_answer | A water dispenser is fully filled with $5$ litres of water at first. After being used to completely fill another container that is $0.25$ times its size, as well as $14$ cups of $150\text{ml}$ each, how much water was left in the water dispenser? Express your answer in litres.~\uline{~~~~~~~~~~}~$\ell$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Multiplication and Division of Decimals"
] |
2023-07-07T00:00:00 | fa00622124e242f3b8c0fe92c2d39c73 | 1 | short_answer | $$7$$ friends - $$A$$、$$B$$、$$C$$、$$D$$、$$E$$、$$F$$、$$G$$, went for dinner togther. In the restaurant, there is a round table with 7 seats with their names being placed at the back of the chairs. They entered the restaurant in a random order. They would choose not to sit on their own personal chair if it is possible. How many different ways of seating arrangments are there? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating"
] |
2023-07-07T00:00:00 | 6433bb0ce3b84294a9f9739ddd7a9ca5 | 1 | short_answer | A $$6$$-digit number $${2\square \square 335}$$ is a multiple of $$99$$. Fill in the blanks and complete the $$6$$-digit number. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | 02456ecae03a47dab61beed2cc4c0b15 | 1 | short_answer | \textbf{$$n$$}~is the largest multiple of $$7$$ which is less than $$100$$. \textbf{$$n=$$}~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples"
] |
2023-07-07T00:00:00 | 3adf2f6e8afc4a6ca82c84688afc78b5 | 1 | short_answer | Harry and Ginny walk from the playground to the museum. The speed ratio of Harry to Ginny is $3:4$. It takes Harry $24$ minutes to walk to the museum. How long does it take Ginny to walk to the museum? Pip\textquotesingle s answer: $$24\div 3\times 4=32$$ min. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | bd690baeb49d4336869943efade96813 | 1 | short_answer | Work out~$5\div\dfrac{1}{4}$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions->Operations of Fractions->Division of Fractions"
] |
2023-07-07T00:00:00 | 5fa23afcf49349ac9cd5d88b0ce77585 | 2 | short_answer | Anny is doing her summer vacation homework. If she writes in the original rate, she can finish her homework in $8$ days; but if she wirtes $2$ more pages per day, she can finish her homework $2$ days earlier. How many pages of homework does Anny need to finish in total? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems"
] |
2023-07-07T00:00:00 | 244f808ad1cc4d13a675289a3ecd9a1a | 1 | short_answer | A book has $200$ pages. Numbering from page $1$ to $200$, how many times is the digit $5$ printed? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Page Number Problem"
] |
2023-07-07T00:00:00 | c6905843d5c84d1896ee600c07cec573 | 1 | short_answer | Pip and Bud are baking bread. Pip bakes 5 loaves of bread in 20 minutes and Bud bakes 3 loaves in 15 minutes. How many loaves did they bake in 40 minutes? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Unitary Method with One Variable"
] |
2023-07-07T00:00:00 | 0555563c570c465e86a95b3ddf408f78 | 1 | short_answer | Work out $$828\div9$$ Answer~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 09b093e35e3d45d0b688e30cc6a0ba76 | 3 | short_answer | A rich man bought a house two years ago. The houseing market is buoyant, and after a year the house had increased in value by 10\%, so the value was £11,000 in the last year. In this year, the housing market slumps. The house loses 10\% of its value. Comparing with the original price, calculate the amount of profit or loss in this year. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | bf44fa7967fe492d97b8a311fafdfaee | 2 | short_answer | Yohan had $10$ white socks, $10$ red socks and $10$ black socks in his drawer. How many socks at most, must Yohan take from his drawer, without looking, till he gets a pair of white socks? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle"
] |
2023-07-07T00:00:00 | b5a825d4f853436bb277e7f3866639d2 | 0 | short_answer | Simplify: $$12a\div 4+2a\times 5$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"
] |
2023-07-07T00:00:00 | fc738668235447c79203dcca2ce2a678 | 1 | short_answer | Write this algebraic expression in its simplest form. $$\left(6\times d\right)+\left(5\times d\right)-d$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions"
] |
2023-07-07T00:00:00 | 084167b934b34115b89c8d9ae9a3b4a2 | 1 | short_answer | Richard had some cookies. He ate $$\frac{3}{8}$$ of the cookies in the morning and $$\frac{1}{6}$$ of the cookies in the afternoon. He had $$33$$ cookies left. How many cookies did he have at first? | [
"Overseas Competition->Knowledge Point->Counting Modules",
"Overseas In-curriculum->Knowledge Point->Operations of Numbers ->Word Problems Involving Fractions and Percentages->Finding a Whole Given a Part and the Percentage"
] |
2023-07-07T00:00:00 | ceff5d5955364eabbd46a62f98797a05 | 2 | short_answer | Vivian writes some numbers in the following order: she writes three $1$s, four $2$s, five $3$s, six $4$s, and so on. According to the pattern, what is the median of all the numbers in the sequence before the first $10$ appears? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability"
] |
2023-07-07T00:00:00 | b90de1565c844c2d97a4ccdcf12c2aac | 1 | short_answer | Jemma thinks of a number. She says, ``Add $3$ to my number and then multiply the result by $5$. The answer is $35$.'' What is Jemma\textquotesingle s number? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operation Problems with Single Variable"
] |
2023-07-07T00:00:00 | 12bef96eae3c41e78b2c7c959b7cb247 | 3 | short_answer | If 5\textsuperscript{th~}May is Monday. How many Sundays are there between 5\textsuperscript{th} May and 7\textsuperscript{th} June? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Periodic Problems of Time->Period of Dates"
] |
2023-07-07T00:00:00 | 06cae666e4524e0780eed7ff941bb6a4 | 1 | short_answer | A box contains some red marbles and white marbles. The ratio of red to white marbles in this box is $3:2$. Pip puts some red balls into the box, and the ratio of red to white balls becomes $5:3$. Then Bud puts some white balls into the box, and the ratio of red to white balls becomes $5:4$. Given that the number of balls put by Bud is $100$ more than the number of balls put by Pip. How many white balls are there in the box at first? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions"
] |
2023-07-07T00:00:00 | d6e7284ab38c41e8ade59a5718682ded | 1 | short_answer | How many buckets which hold $8$ litres each can you fill from a barrel which holds $120$ litres? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Applying Multiplication and Division->Applying Division"
] |
2023-07-07T00:00:00 | d782b43878bb4cf1bafe5b83f82438e2 | 1 | short_answer | One quarter of the pupils in a class are left-handed. If there are $20$ pupils in the class. How many are \textbf{\uline{not}} left-handed? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | 9034744a6a62443fa56a651ca2584ee4 | 0 | short_answer | A baker had $$40$$ kg of flour. He packed all the flour equally into $$25$$ small packets. How much flour was in each packet? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 1a3522fba8a14fd7bb05a7ed2ce9622e | 0 | short_answer | The number $5K27K$ is divisible by both $3$ and $4$. Find the value of $K$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Division without Remainders->Divisibility Rules"
] |
2023-07-07T00:00:00 | a63989af68494194bfb53a854e3665ba | 1 | short_answer | One morning, Mama Bear baked some cookies and brownies in the ratio $$4:3$$. After giving away $$6$$ brownies to her children, the ratio became $$12:7$$. How many cookies and brownies did Mama Bear bake altogether? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Ratio Word Problems with an Invariant Part"
] |
2023-07-07T00:00:00 | f4fc1897652e40b78918728180071644 | 3 | short_answer | If 4 construction companies can build a $$900\rm m$$ expressway in $$5$$ days, how many days will 6 construction companies take to build a $$5400\rm m$$ expressway? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Work Word Problems->Simple Work Word Problems"
] |
2023-07-07T00:00:00 | 02ba9287f10746898f97cec009cbf38a | 1 | short_answer | In Country A, there is a super smart businessman. He uses $10$ dollars to buy a horse, and then sells it at $20$ dollars. After that, he uses $30$ dollars to buy it back and then sells it out at $40$ dollars again. Altogether, the businessman earns $~\uline{~~~~~~~~~~}~. | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | ac5436a25e0442f2a16bce013c5fb452 | 1 | short_answer | Adam and Claire buy some tickets for a concert. Adam spends £$$93$$ and buys $$6$$ tickets. Claire spends £$$124$$, how many tickets does she buy? ~\uline{~~~~~~~~~~}~tickets | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 3ed7b46e44cc4f75b5c4f2b2c79caf4e | 1 | short_answer | Part of a number sequence is shown. $25, 28, 31$ If the last figure shown is the $10^{th}$~term in the sequence, what was the first? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->The Number of Terms in an Arithmetic Sequence"
] |
2023-07-07T00:00:00 | f3712fb16f9f469bab602738d8fc9cc5 | 1 | short_answer | Each of the whole numbers $$1$$ through $$8$$ is written on $$8$$ cards, one number on per card. Four crds are given to each of two players. The sum of Player One\textquotesingle s cards is $$23$$. What is the highest single card could Player Two possibly have? | [
"Overseas Competition->Knowledge Point->Counting Modules->Questions Involving Enumeration->Enumeration",
"Overseas Competition->Knowledge Point->Combinatorics->Math Game"
] |
2023-07-07T00:00:00 | 49021dd3aa7f4c03a9353bfc19e4a911 | 1 | short_answer | $$2$$ cobblers need to clean $$9$$ pairs of identical shoes (left and right side). Each cobbler will take $$2$$ minutes to clean one shoe. If they both start working at the same time, what is the shortest time for them to clean $$9$$ pairs of identical shoes? | [
"Overseas Competition->Knowledge Point->Combinatorics->Strategies and Operations->Planning"
] |
2023-07-07T00:00:00 | a978c7f92cdf44f1942f967781ad3207 | 2 | short_answer | Solve the following: $${{1}^{2}}+\left( {{1}^{2}}+{{2}^{2}} \right)+\left( {{1}^{2}}+{{2}^{2}}+{{3}^{2}} \right)+\cdots +\left( {{1}^{2}}+{{2}^{2}}+{{3}^{2}}+\cdots+{{20}^{2}} \right)$$． | [
"Overseas Competition->Knowledge Point->Combinatorics->Fun Problems in Math"
] |
2023-07-07T00:00:00 | a77bd217c8b244528cdb996bbf73a46b | 3 | short_answer | A packet of cookies can contain $$7$$ cookies. How many packets are needed to contain $$118$$ cookies? | [
"Overseas Competition->Knowledge Point->Word Problem Modules"
] |
2023-07-07T00:00:00 | 7039740729c84c8b8342e7002a2ca25f | 1 | short_answer | Calculate in an easy way: $$\frac{2019+2018\times 2020}{2019\times 2020-1}$$ | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | 54675caae3be46bdbb99950ef3e25cf4 | 1 | short_answer | Amna takes a test with $$50$$ questions. Four marks are given for each correct answer but one mark is taken off for each question she gets wrong. If Amna scores $$168$$ in the test and doesn\textquotesingle t attempt $$3$$ questions at all, how many questions did she answer correctly? (There is no penalty for not attempting a question in this test that Amna takes) | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems->Solving Chicken-Rabbit Problems by Using Hypothesis->Deducting Marks"
] |
2023-07-07T00:00:00 | 83a40f2b75d945d99e8db96a35ed071c | 1 | short_answer | On the awards podium of the Think Academy Olympics, each of the top six players congratulate one another with handshakes. If every two of them shake hands only one time, then how many handshakes will occur? | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Law of Addition",
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations"
] |
2023-07-07T00:00:00 | 77bd08c2a453492a87c56b21199104f7 | 1 | short_answer | On Chinese New Year, Luna makes $$17$$ dumplings and her sister Lucy makes $$11$$ dumplings. How many dumplings does Luna need to give to her sister so that both of them have the same number of dumplings? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction->Simple Addition and Subtraction"
] |
2023-07-07T00:00:00 | 2b1da842ccca44b1832de397d53e2758 | 1 | short_answer | If two-thirds of a number is $$24$$, what is three-quarters of the same number? Answer:~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Finding the Base"
] |
2023-07-07T00:00:00 | e99a2fad50b8447bb1d94893b6d71077 | 2 | short_answer | Find the sum of all odd numbers between 0 and 20. | [
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication"
] |
2023-07-07T00:00:00 | 2963cf233b46447fb5c825b6196c2767 | 1 | short_answer | $14\times7\times2$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 79ee6ea187d04728affd0de95d4a7018 | 2 | short_answer | In the following, all the different letters stand for different digits. What is the value of the $4$-digit number $BDEC$? $CBCD + CDBC = BDEC$ | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | fa8616efa25d4f8299991f1f8407ebf5 | 1 | short_answer | Mr Manson wants to buy some markers for his new tuition centre. He decided to purchase an equal number of packs of $6$, $8$, $9$ and $15$ markers. He needed at least $1000$ markers in total. What is the minimum number of markers that Mr Manson had to purchase? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization"
] |
2023-07-07T00:00:00 | b8daef005cc44c47badd2aa9cc85b532 | 1 | short_answer | $543-284$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Subtraction of Whole Numbers->Subtraction in Horizontal Form"
] |
2023-07-07T00:00:00 | 0f973003177e403a90be16bda5983322 | 1 | short_answer | How many ways are there to rearrange the letters in the word \textquotesingle CHALLENGE\textquotesingle{} if the three vowels (A, E and E) must be together? | [
"Overseas Competition->Knowledge Point->Counting Modules"
] |
2023-07-07T00:00:00 | eeede3cca47a4853803fb6e1834b3f28 | 1 | short_answer | Multiply $$193$$ by $$72$$.~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 69645c35c8a9498f96d6bd29db22e3cd | 1 | short_answer | A tailor can make $$2$$ dresses in one day. How many dresses can $$2$$ seamstresses make in $$9$$ days?(Assuming both are able to make $$2$$ dresses in one day.) | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Unitary Method Problems->Finding the Total Value using Unitary Method"
] |
2023-07-07T00:00:00 | ddadda8c0ee24b048475b1ed01e97866 | 1 | short_answer | $$Calculate.$$ $$77.5\times 52 \%+5.2\times 2.25$$． | [
"Overseas Competition->Knowledge Point->Calculation Modules->Percentage Calculation"
] |
2023-07-07T00:00:00 | f87d0f3c9c544ecc84257dfd2c08ff82 | 2 | short_answer | Mason spent an average of $450$ dollars per month from January to March, $350$ dollars per month from April to July, $1250$ dollars in total from August to October, and $400$ dollars per month from November to December. How much did he spend on average per month from January to December? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability",
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Questions Involving Average->Questions Involving Average (ordinary type)"
] |
2023-07-07T00:00:00 | ab2b472b178c42e1be0cb06a1e3c1731 | 0 | short_answer | \textbf{$$n$$}~is the smallest multiple of $$13$$ more than $$50$$. \textbf{$$n=$$}~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Basic Concepts of Factors and Multiples"
] |
2023-07-07T00:00:00 | 5382dfa2d3874f6fb2d80352fe7491cf | 2 | short_answer | There are 4 carrot cakes, 1 cheesecakes and 5 chocolate cakes in the bakery. Each carrot cake sold at~£5, each cheesecake sold at £10 and each chocolate cake sold at £12. Find the average selling price of each cake. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Understanding Meanings of Multiplication"
] |
2023-07-07T00:00:00 | 7d6b5eb612604e62842cf23e7effa510 | 1 | short_answer | A meal for $$6$$ people cost £$$104.10$$. If each person paid the same amount, how much did each pay? £~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division",
"Overseas Competition->Knowledge Point->Word Problem Modules->Word Problems in Economics->Money Calculation"
] |
2023-07-07T00:00:00 | 08152a7dda6848a09cff15a407c5e8c7 | 2 | short_answer | In a division equation, the remainder is $7$, and the divisor is equal to the quotient. What is the least dividend? ~\uline{~~~~~~~~~~}~$\div$~\uline{~~~~~~~~~~}~$=$~\uline{~~~~~~~~~~}~$R7$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Division of Whole Numbers->Division with Remainders"
] |
2023-07-07T00:00:00 | b2352f675fd94fd2aa06d2b9fd4f2ba3 | 2 | short_answer | On a ferry, the total number of cars, bikes and lorries is an even number and is less than $$100$$. The number of cars is four-thirds of the number of bikes. The number of bikes is one quarter more than the number of lorries. How many cars, bikes and lorries are there on the ferry? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Proportions->Complex Ratio Problems"
] |
2023-07-07T00:00:00 | cd83fc2a714c467082ec8c0821d5ca86 | 2 | short_answer | Calculate: $2\times25\times123$ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying of Multiplication and Division"
] |
2023-07-07T00:00:00 | 172e8369614e4791ae4f2791ae3d9b80 | 1 | short_answer | $$143+22+157=$$~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction "
] |
2023-07-07T00:00:00 | 45d5eb20e04045f59025c5f269819d6d | 1 | short_answer | Betty\textquotesingle s moter bought a car for $50,000$ dollars. The car depreciates at the rate of $15 \%$ per year. Find the value of your car after $2$ years. | [
"Overseas Competition->Knowledge Point->Calculation Modules"
] |
2023-07-07T00:00:00 | 9addac3e46e44e54a72dccaf472b32a3 | 1 | short_answer | There are $$12$$ rows of seats in a cinema. There are $$10$$ seats in the first row, $$12$$ seats in the second row, $$14$$ seats in the third row, and so on. How many seats are there in the $12$\textsuperscript{th}~row? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Practical Application of Arithmetic Progression"
] |
2023-07-07T00:00:00 | 64fc79ccfc074918a3acf3065f946315 | 1 | short_answer | There are many visitors lining up before the amusement park opens. The number of visitors that join the line each minute is constant, which is 10 visitors per minute. Each entrance can help 25 visitors check in per minute. If there is one entrance, there will be no one waiting in the line in 16 min. If there are 2 entrances, how long after there will be no one waiting in the line? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Newton's Problem of Cows and Fields"
] |
2023-07-07T00:00:00 | bd1ac5cdb71d4b9895407f5f400fb9e6 | 1 | short_answer | Ronald was asked to find the value for $p$, given that $245p$ is a cube number. Determine the value of $p$. | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Perfect Square Numbers"
] |
2023-07-07T00:00:00 | 74584a19c48347f89526c8b68de4bad8 | 1 | short_answer | How many days will Sally spend reading a $600-$page book, if she reads on average $20$ pages per day? | [
"Overseas Competition->Knowledge Point->Counting Modules->Statistics and Probability",
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas"
] |
2023-07-07T00:00:00 | 6e011ddf528c41a2841e18229bc4ef7a | 1 | short_answer | Multiply $$193$$ by $$72$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Multiplication and Division->Multiplication and Division of Whole Numbers->Multiplication out of the Multiplication Table"
] |
2023-07-07T00:00:00 | 825ebd9e4b2e4171951ba63f6748b0ed | 1 | short_answer | Calculate: $${{6}^{2}}-{{4}^{2}}$$. Pip\textquotesingle s answer: $${{6}^{2}}-{{4}^{2}}=2 \times \left( {{3}^{2}}-{{2}^{2}} \right)=2\times 5=10$$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations through Formulas"
] |
2023-07-07T00:00:00 | d6ee9c6fc34d4dcc804163dd5f791636 | 1 | short_answer | $2014+998=$ | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Addition of Whole Numbers->Addition in Horizontal Form"
] |
2023-07-07T00:00:00 | 9b8fa831793640388f99903b6da9cfa0 | 1 | short_answer | Claudia, Elvis and Shermaine went to the bookstore. Elvis bought $157$ rulers more than Shermaine but $202$ rulers less than Claudia. If Shermaine bought $142$ rulers, how many rulers did the $3$ children buy altogether? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Comparing, Ordering and Estimating"
] |
2023-07-07T00:00:00 | 73720d8a53844a81a014f335f06e561a | 1 | short_answer | Fawzan went shopping with £$100$ in his wallet. He spent $10 \%$ of his money on a book and $20 \%$ of the rest on a DVD. How much money did he then have left? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Knowing the Base"
] |
2023-07-07T00:00:00 | e76a8423b47d4b808a5aeadbbdc02127 | 0 | short_answer | What is the sum of the first $1000$ digits in the decimal part of $1\div3$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Decimals->Recurring Decimals"
] |
2023-07-07T00:00:00 | babb3e967e7b4903b754afff7e3ac9af | 1 | short_answer | A snail wants to climb out of a $$16-$$metre burrow. It climbs up $$5$$ metres during the day and slides down $$3$$ metres at night. Exactly on which day can the snail climb out? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Periodic Problems->Snail Climbing out of Well Problems"
] |
2023-07-07T00:00:00 | 9223e7ed5d434394b8c1269d1e768459 | 1 | short_answer | Siobhan thinks of a number and then doubles it. Then she adds $$12$$. The number she ends up with is $$34$$. What was Siobhan's original number? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Inverse Operation Problems->Inverse Operations"
] |
2023-07-07T00:00:00 | 1488e869ebdf483eb9bb096cb73b1708 | 1 | short_answer | The number of goals scored by St Francis' netball team in their last $10$ games are as follows. $7$~ ~$2$~ ~$12$~ ~$10$~ ~$5$~ ~$3$~ ~$7$~ ~$11$~ ~$9$~ ~~$4$ Find the mean~\uline{~~~~~~~~~~}~ | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Average Problems ->Using Formulas->Finding the Average Directly"
] |
2023-07-07T00:00:00 | 2d4a6c8599b4492b9b95d9d9b87446d5 | 1 | short_answer | The ratio of the number of oranges to the number of lemons in a basket was $$3:5$$. After $$48$$ oranges were sold, the ratio of the number of oranges to the number of lemons became $$1:2$$. How many lemons were there in the basket at first? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Ratios and Proportions->Proportions"
] |
2023-07-07T00:00:00 | fd64eed080d74099adc2ffa22714239d | 0 | short_answer | Subtract $2018$ from $8102$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Whole Numbers->Whole Numbers Addition and Subtraction ->Subtraction of Whole Numbers->Subtraction in Vertical Form"
] |
2023-07-07T00:00:00 | 4e9945e556e74ffe91cb3030ad37baae | 1 | short_answer | Teacher Angel bought some apples, pears and cherries. Each students can choose $$1$$ fruit of either one, two or three type of fruits. How many students are needed to ensure there are two students that choose the same fruits? | [
"Overseas Competition->Knowledge Point->Combinatorics->Pigeonhole Principle"
] |
2023-07-07T00:00:00 | 5731ad5e696643829195d329db479a6b | 0 | short_answer | The price of a bike is $80$ dollars. If the seller gives $10$\% discount on Christmas, how much does it cost to buy that bike on Christmas. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Solving Problems Involving Fractions and Percentages->Percentages Word Problems"
] |
2023-07-07T00:00:00 | dcae38ac969c4a158f8f8806395f093f | 1 | short_answer | James goes to Burger King for dinner. He needs to choose a burger, a side and a drink to make a combo. If the order of food items is not important, how many different combos might he choose? Burger: Chicken burger, beef burger Side: French fries, meshed potato, broccoli Drink: Sprite, Coke, Fanta, lemonade, iced tea | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication->Principle of Multiplication"
] |
2023-07-07T00:00:00 | d6816432b29549ef83897c88e2df4bca | 2 | short_answer | Avril spent 10p which was one-quarter of her money. How much money did Avril have at first? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Fractions"
] |
2023-07-07T00:00:00 | 6af40f0ef07e4f66810e88983de37cf0 | 1 | short_answer | Jessica live together with $$3$$ ducks, $$2$$ parrots, $$1$$ rabbit and some cats. If the total number of legs in her house is $$32$$, how many cats does Jessica have? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Chicken-Rabbit Problems"
] |
2023-07-07T00:00:00 | 74abfc1f309c4e35ab04f1a1d6695900 | 1 | short_answer | Calculate： $$818-271-18+64-29+36$$． | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Applying Addition and Subtraction"
] |
2023-07-07T00:00:00 | 5512327e08b64371a00550b6d22306bd | 1 | short_answer | At the school scavenger hunt, class $A$, $B$, $C$ each has $45$, $75$, $210$ students who want to particpate. The participating students will need to split into groups of the same size. They can\textquotesingle t group up with students from other classes. How many students will each group have? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Factors and Multiples->Common Factors and Common Multiples->Common Factors and the Greatest Common Factors->The Greatest Common Factor of Multiple Numbers"
] |
2023-07-07T00:00:00 | ca8974b0e2b446cfbbdf59c9fa10f48f | 1 | short_answer | Judy\textquotesingle s father is $33$ years older than her. This year, the sum of their ages is $63$ years old. How many years ago her father\textquotesingle s age was four times her age? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems"
] |
2023-07-07T00:00:00 | d6c279a7a7694686a1864a5bf68f39e6 | 1 | short_answer | There are $$11$$ football teams participating in a single round-robin tournament, where every two teams are required to play one game against each other. How many matches will the tournament have in total? | [
"Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations",
"Overseas Competition->Knowledge Point->Combinatorics->Logical Reasoning->Sports Competition"
] |
2023-07-07T00:00:00 | 30a048071a8e4db6b6628b18c39b3e8f | 1 | short_answer | Find x. $$3(x-1)=9-2(x+1)$$. | [
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Equivalent Substitution->Algebraic Expressions",
"Overseas Competition->Knowledge Point->Calculation Modules->Basic Concepts of Equation->Linear Equations with one Variable"
] |
2023-07-07T00:00:00 | 7ae0fef8de6c493cb2eee6482338c688 | 1 | short_answer | Let\textquotesingle s define the symbol $$\Phi~ $$ as an operation follows the rules beneath: ($$1$$) If $$a ~\textless{} ~7$$, then $$a\Phi b=a+b\times b$$. ($$2$$) If $$a\geqslant 7$$, then $$a\Phi b=a-b$$． What is the value of $$4\Phi \left( 8\Phi 3 \right)$$? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition"
] |
2023-07-07T00:00:00 | f7bdbfc9be95446a8cb7289c066d92b3 | 1 | short_answer | When the age of an older brother was the same as his younger brother's current age, the younger brother was $12$ years old. When the younger brother becomes the same age as his older brother's current age, the older brother will be $27$ years old. Find the current age of the older brother. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Age Problems->When..., When... Type Age Problems"
] |
2023-07-07T00:00:00 | 10e0e482b8824984872affe8ce1e0490 | 1 | short_answer | Mr Manson wants to purchase some markers for his new tuition centre. As he is unsure of the number of classes his new tuition centre should have, he decided to purchase markers in multiples of $6$, $8$, $9$ or $15$. He needed to purchsase at least $1000$ markers in total. What is the minimum number of markers that Mr Manson had to purchase? | [
"Overseas Competition->Knowledge Point->Number Theory Modules->Prime Factorization"
] |
2023-07-07T00:00:00 | 16b3c8aa2d704da6a537f88f6fec0816 | 2 | short_answer | The school allocates student dormitories. If there are $$4$$ people in each room, $$40$$ students don\textquotesingle t have domitories; if there are $$6$$ people in each room, $24$$ beds will be vacated. How many rooms are there in the student dormitory? | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Equation Word Problems"
] |
2023-07-07T00:00:00 | dad5d4611c204567a94ca9e6e9e3d5ad | 2 | short_answer | Number $$A$$ is $$25$$ greater than number $$B$$. After adding $$35$$ to number $$A$$, number $$A$$ will be $$6$$ times greater than number $$B$$. What is the number $$A$$ at the start. | [
"Overseas Competition->Knowledge Point->Word Problem Modules->Questions Involving Sum, Difference and Multiples->Problems of Difference and Multiple"
] |
2023-07-07T00:00:00 | 3f4b5d68e6a34a558a6a5627f763bf86 | 1 | short_answer | A sequence of numbers is formed by always adding the same number to get the next number in the sequence. The $10^{th}$~number in the sequence is $23$ and the $15^{th}$~number is $38$. What is the $102^{}\text{nd}$ number? | [
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Common Difference of an Arithmetic Sequence",
"Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables->Arithmetic Sequences->Concepts of Arithmetic Sequences"
] |
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